Weak spectral mapping theorems for functional differential equations
From MaRDI portal
Publication:1181680
DOI10.1016/0022-0396(91)90089-RzbMath0742.34056MaRDI QIDQ1181680
Manfred Schwarz, Günther Greiner
Publication date: 27 June 1992
Published in: Journal of Differential Equations (Search for Journal in Brave)
difference equationsneutral differential equationssemigroup operatorsBanach space version of Gearhart's theoremsolution semigroupsspectral values
Neutral functional-differential equations (34K40) Linear differential equations in abstract spaces (34G10)
Related Items
Hyperbolic evolution groups and dichotomic evolution families ⋮ Large spectral gap induced by small delay and its application to reduction ⋮ Positive evolution families solving nonautonomous difference equations ⋮ Eventual norm continuity for neutral semigroups on Banach spaces ⋮ Difference operators as semigroup generators ⋮ Singular functional differential equations of neutral type in Banach spaces ⋮ Hyperbolicity of solution semigroups for linear neutral differential equations ⋮ Resolvents of operators and partial functional differential equations with nonautonomous past. ⋮ Some applications of Fejer’s theorem to operator cosine functions in Banach spaces ⋮ Weak spectral mapping theorems for \(C_0\)-groups associated to transport equations in slab geometry ⋮ Spectral properties and asymptotic periodicity of flows in networks
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Semigroups of linear operators and applications to partial differential equations
- One-parameter semigroups of positive operators
- On the spectrum of evolution operators generated by hyperbolic systems
- Linear autonomous neutral functional differential equations
- Analytic functions of absolutely convergent generalized trigonometric sums
- On Positive Contractions In L p -Spaces
- A Theorem on Absolutely Convergent Trigonometrical Series